Positive integers a, b, and c are chosen so that a<b<c, and the system of equations
2 x+y=2003 \text { and } y=|x-a|+|x-b|+|x-c|
has exactly one solution. What is the minimum value of c ?
Answer Choices
A. 668
B. 669
C. 1002
D. 2003
E. 2004
Positive integers a, b, and c are chosen so that a<b<c, and the system of equations
has exactly one solution. What is the minimum value of c ?
Answer Choices
A. 668
B. 669
C. 1002
D. 2003
E. 2004